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Proofgold Proof

pf
Claim L0: ...
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Claim L1: ...
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Claim L2: ...
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Claim L3: ...
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Claim L4: ...
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Let x0 of type ιιο be given.
Let x1 of type ιι be given.
Let x2 of type ιιο be given.
Let x3 of type ιο be given.
Let x4 of type ιο be given.
Let x5 of type ιι be given.
Let x6 of type ιι be given.
Let x7 of type ιι be given.
Let x8 of type ιιο be given.
Let x9 of type ιιο be given.
Let x10 of type ιιι be given.
Let x11 of type ιο be given.
Let x12 of type ιο be given.
Let x13 of type ι be given.
Let x14 of type ιιιο be given.
Let x15 of type ιιο be given.
Let x16 of type ι be given.
Let x17 of type ι be given.
Let x18 of type ι be given.
Let x19 of type ι be given.
Let x20 of type ι be given.
Let x21 of type ι be given.
Let x22 of type ι be given.
Let x23 of type ιι be given.
Let x24 of type ιο be given.
Let x25 of type ιιι be given.
Let x26 of type ιο be given.
Let x27 of type ιιι be given.
Let x28 of type ιιο be given.
Let x29 of type ιιο be given.
Let x30 of type ι be given.
Let x31 of type ι be given.
Let x32 of type ιο be given.
Let x33 of type ιι be given.
Let x34 of type ιο be given.
Let x35 of type ι be given.
Let x36 of type ιιο be given.
Let x37 of type ιι be given.
Let x38 of type ιιο be given.
Let x39 of type ιο be given.
Let x40 of type ι be given.
Let x41 of type ιιι be given.
Let x42 of type ιι be given.
Let x43 of type ιιι be given.
Let x44 of type ιο be given.
Let x45 of type ιο be given.
Assume H5: ∀ x46 x47 . x45 x47(x47 = x46False)x45 x46False.
Assume H6: ∀ x46 x47 . x0 x46 x47x45 x47False.
Assume H7: ∀ x46 x47 x48 x49 . x44 x49x44 x46x0 (x43 x48 x47) (x42 x46)(x0 (x43 x48 x47) (x42 (x41 x49 x46))False)False.
Assume H8: ∀ x46 x47 x48 x49 . x44 x49x44 x46x0 (x43 x48 x47) (x42 x49)(x0 (x43 x48 x47) (x42 (x41 x49 x46))False)False.
Assume H9: ∀ x46 . x45 x46(x46 = x40False)False.
Assume H10: ∀ x46 x47 x48 . x0 x46 x47x2 x47 (x1 x48)x45 x48False.
Assume H11: ∀ x46 x47 x48 x49 . x44 x49x44 x46x0 (x43 x48 x47) (x42 (x41 x49 x46))x0 x48 (x37 x46)x0 x47 (x37 x46)x38 x49 x46x39 x46(x0 (x43 x48 x47) (x42 x46)False)False.
Assume H12: ∀ x46 x47 x48 . x0 x47 x48x2 x48 (x1 x46)(x2 x47 x46False)False.
Assume H13: ∀ x46 x47 . x36 x47 x46(x2 x47 (x1 x46)False)False.
Assume H14: ∀ x46 x47 . x2 x47 (x1 x46)(x36 x47 x46False)False.
Assume H15: ∀ x46 x47 . x2 x46 x47(x45 x47False)(x0 x46 x47False)False.
Assume H16: ∀ x46 x47 . x0 x47 x46(x2 x47 x46False)False.
Assume H17: x45 x35False.
Assume H18: ∀ x46 . (x36 x46 x46False)False.
Assume H19: ∀ x46 . (x34 x46False)x32 x46x45 (x33 x46)False.
Assume H20: ∀ x46 . (x34 x46False)x32 x46(x2 (x33 x46) (x1 (x37 x46))False)False.
Assume H21: x45 x31False.
Assume H22: ∀ x46 . (x3 x46False)x32 x46x4 (x5 x46)False.
Assume H23: ∀ x46 . ......(x2 (x5 x46) (x1 ...)False)False.
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